789408 has 36 divisors (see below), whose sum is σ = 2245698. Its totient is φ = 263040.

The previous prime is 789407. The next prime is 789419. The reversal of 789408 is 804987.

It can be written as a sum of positive squares in only one way, i.e., 725904 + 63504 = 852^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 789408.

It is not an unprimeable number, because it can be changed into a prime (789407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1083 + ... + 1658.

2⁷⁸⁹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

789408 is an abundant number, since it is smaller than the sum of its proper divisors (1456290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

789408 is a wasteful number, since it uses less digits than its factorization.

789408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 789408 is about 888.4863532998. The cubic root of 789408 is about 92.4202575476.

The spelling of 789408 in words is "seven hundred eighty-nine thousand, four hundred eight".